Question

(3a^3b^-2c^0d)^3/6a^3b^-8c*b^2d

Answer 1

`4.5a^6d^2`

Explanation:

Use:

`(ab)^n=a^nb^n\\\\(a^n)^m=a^(nm)\\\\a^n\cdot a^m=a^(n+m)\\\\(a^n)/(a^m)=a^(n-m)\\\\a^0=1\ for\ a\\eq0`

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`((3a^3b^(-2)c^0d)^3)/(6a^3b^(-8)c\cdot b^2d)=(3^3(a^3)^3(b^(-2))^3(1^3)d^3)/(6a^3b^(-8+2)d)=(27a^9b^(-6)d^3)/(6a^3b^(-6)d)\\\\=(27)/(6)a^(9-3)b^(-6-(-6))d^(3-1)=4.5a^6b^0d^2=4.5a^6d^2`